This book, a follow-up of Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis where the reader was introduced to data analysis on manifolds, is expanding the subject of data analysis on object spaces, to the case of metric spaces that have a smooth structure on an open dense subset only, governed by a nice filtration structure on the singular part of this space, that is comprised of manifolds whose boundaries are made of lower dimensional manifolds in this filtration. Such object spaces are known as stratified spaces, and their structure will be detailed in the second part of the book. Key examples of complex data from which one extracts data representable as points on a stratified space, and a review on data analysis on manifolds, are provided, alongside a summary of results on nonparametric methods on manifolds. Key results on asymptotic and nonparametric bootstrap on some stratified spaces are included. Certain object spaces with a manifold stratification arising in Statistics are considered with examples of application on data analysis and on them. Various applications include RNA based analysis of the SARSCov2 virus, 3D face identification from digital camera images, English Alphabet based comparison of certain European Languages. Nonparametric Statistics on Stratified Spaces and Their Applications in Object Data Analysis is intended for graduate students to expand their understanding of Nonparametric Statistics, and enhance their ability to grasp and extract complex data and analysis of manifolds.
eBook - ePub
Nonparametric Statistics on Stratified Spaces and Their Applications in Object Data Analysis
- 187 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Nonparametric Statistics on Stratified Spaces and Their Applications in Object Data Analysis
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Table of contents
- Cover Page
- Half-Title Page
- Title Page
- Copyright Page
- Contents
- Foreword
- Preface
- I Data and Preliminaries for Analysis on Stratified Spaces
- II Nonparametric Statistics on Stratified Spaces
- III Asymptotic Theory and Nonparametric Bootstrap on Special Stratified Spaces
- IV Applications in Object Data Analysis on Stratified Spaces
- Bibliography
- Index
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Yes, you can access Nonparametric Statistics on Stratified Spaces and Their Applications in Object Data Analysis by Victor Patrangenaru,Daniel E. Osborne in PDF and/or ePUB format, as well as other popular books in Mathematics & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.